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a company makes x toys daily at a cost of C(x)=125+30x+2(x to the power of 2/3) dollars. what daily production level will minimize the average cost? (note define average cost as the Total cost divided by the total number of items)


According to your definition
Average Cost = C(x)/x
=125/x + 30 + 2x^(-1/3)

d(Average Cost)/dx = -125/x^2 - (2/3)x^(-4/3)

set this to zero and solve

(I got x=32.75, but x should be a whole number, so x = 33)

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